document.write( "Question 981783: Find a possible formula for a power function with the properties that f(1)=3/2 and f(2)=3/8. You must show calculations justifying your formula. \r
\n" ); document.write( "\n" ); document.write( "Help me please? \n" ); document.write( "

Algebra.Com's Answer #602727 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Instead of doing your problem, I will do one EXACTLY in every detail like\r\n" );
document.write( "your problem.  Then you can use it as a model to do yours by:\r\n" );
document.write( "\r\n" );
document.write( "I will do this one:\r\n" );
document.write( "

\n" ); document.write( "Find a possible formula for a power function with the properties that
\n" ); document.write( "g(3)=4/3 and g(4)=4/9.
\n" ); document.write( "

\r\n" );
document.write( "I start by assuming the general power formula for g(x)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "I substitute x=3 and set that equal to 4/3:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then I substitute x=4 and set that equal to 4/9:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then I divide equals by equals dividing g(4) by g(3)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        \r\n" );
document.write( "\r\n" );
document.write( "        \r\n" );
document.write( "\r\n" );
document.write( "I substitute that in \r\n" );
document.write( "\r\n" );
document.write( "              \r\n" );
document.write( "\r\n" );
document.write( "              \r\n" );
document.write( "\r\n" );
document.write( "I multiply both sides by 27 to clear of fractions:\r\n" );
document.write( "\r\n" );
document.write( "              \r\n" );
document.write( "\r\n" );
document.write( "              \r\n" );
document.write( "\r\n" );
document.write( "Therefore my power function  becomes\r\n" );
document.write( "              \r\n" );
document.write( "Answer:       \r\n" );
document.write( "\r\n" );
document.write( "Now do your problem exactly the same way I did mine.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );